Anthropic Claude完成费马大定理形式化证明
Checking that a major mathematical proof is correct can take years. Formalizatio…
Claude 在复杂数学推理与形式化验证上取得重大突破，1300万行代码验证费马大定理，标志着AI辅助科研进入深水区，值得关注。
Checking that a major mathematical proof is correct can take years. Formalization—converting the mathematical reasoning into a form computer proof assistants like Lean can verify—can help.
验证一个重大数学证明的正确性可能需要数年时间。形式化——将数学推理转换为计算机证明助手（如 Lean）可以验证的形式——可以提供帮助。
Last month, Claude completed the first formalized proof of Fermat’s Last Theorem, one of the most famous theorems of all time. This was a project experts thought would take many years. It is the largest Lean proof ever written.
上个月，Claude 完成了费马大定理的第一个形式化证明，这是有史以来最著名的定理之一。这是一个专家们认为需要花费多年时间的工程。它是迄今编写的最大的 Lean 证明。
Fermat’s Last Theorem was first proven in 1995 by Sir Andrew Wiles, more than 350 years after it was conjectured. Our proof, which totals over 13 million lines of code, provides machine verification. More importantly, it proves over 29,000 other theorems that the proof requires, across many areas of math which had never before been formalized.
费马大定理由安德鲁·怀尔斯爵士于 1995 年首次证明，距离其被提出已逾 350 年。我们的证明总计超过 1300 万行代码，提供了机器验证。更重要的是，它证明了该证明所需的另外 29000 多个定理，涉及此前从未被形式化的许多数学领域。
We see this as a major step in the long process of firming up the core of mathematical knowledge, building on work from three centuries of mathematicians and hundreds of contributors to Lean and Mathlib. We are optimistic that AI-assisted verification of mathematical proofs will help reduce the burden of refereeing mathematics in an era where more proofs are being produced than ever before.
我们将此视为巩固数学知识核心这一漫长过程中的一个重要步骤，这项工作建立在三个世纪以来数学家的成果以及数百位 Lean 和 Mathlib 贡献者的工作基础之上。我们乐观地认为，在证明数量前所未有的时代，AI 辅助的数学证明验证将有助于减轻同行评审的负担。
You can read about the process on our Science Blog: https://www.anthropic.com/research/formalizing-fermats-last-theorem
您可以在我们的科学博客上阅读相关过程：https://www.anthropic.com/research/formalizing-fermats-last-theorem
And see the complete proof on GitHub: https://github.com/anthropics/fermats-last-theorem
并在 GitHub 上查看完整的证明：https://github.com/anthropics/fermats-last-theorem
更进一步：量化金融体系
看懂新闻只是起点——沿量化金融路径，把它变成能交付的工程能力